Multivariate Approximation Theory III

1. Numerical Realization of Boundary Collocation Methods

   • Klaus Gürlebeck, Wolfgang Sprößig, Manfred Tasche

   Pages 206-217

2. Interpolation by Polynomials and Natural Splines on Normal Lattices

   • H. Hakopian

   Pages 218-220

3. Bivariate Approximation Procedures

   • Werner Haußmann, Karl Zeller

   Pages 221-231

4. Construction and Applications of Hermite Interpolating Quadratic Spline Functions of two and three Variables

   • Gerhard Heindl

   Pages 232-252

5. Hermite-Fejer and Higher Hermite-Fejer Interpolation with Boundary Conditions

   • Hans-Bernd Knoop

   Pages 253-261

6. Some uniqueness problems in best Chebyshev and mean multivariate approximation

   • András Kroó

   Pages 262-269

7. Minimal Projections in Tensor Product Spaces

   • W. A. Light

   Pages 270-276

8. Convergence of Hermite-Fejér Interpolation via Korovkin’s Theorem

   • F. Locher

   Pages 277-285

9. Cubature Error Bounds using Degrees of Approximation

   • Eberhard Luik

   Pages 286-297

10. Square Functions in the Theory of Cesàro Summability of Double Orthogonal Series

    • Ferenc Móricz

    Pages 298-308

11. Generalized Melkes Interpolation

    • Helmut Nienhaus

    Pages 309-321

12. Approximation Theory and Analysis of Spectral Methods

    • Alfio Quarteroni

    Pages 322-331

13. On Multivariate Polynomial L1 — Approximation to Zero and Related Coefficient Inequalities

    • Heinz-Joachim Rack

    Pages 332-342

14. Abschätzungen von Lagrange-Quadratsummen für die Sphäre mit Hilfe gewisser Eigenwerte

    • M. Reimer

    Pages 343-348

15. On Gabor Information Cells

    • Walter Schempp

    Pages 349-362

16. Ein Beitrag zur Flächenapproximation über Unregelmässig Verteilten Daten

    • R. Schmidt

    Pages 363-369

17. The Basis and Moment Problems of some Systems of Analytic Functions

    • Xie-Chang Shen

    Pages 370-379

18. Normen von Projektionen in Mehreren Veränderlichen

    • Burkhard Sündermann

    Pages 380-387

19. The Solution of Generalized Least Squares Problems

    • G. Alistair Watson

    Pages 388-400

The Fourth International Symposium on Multivariate Approximation Theory was held at the Oberwolfach Mathematical Research Insti­ tute, Black Forest, W.-Germany, during the week of January 20 - 26, 1985. The preceding conferences on this topic were held in 1976, 1979, and 1982 * . We were pleased to have more than 50 mathematicians from 13 countries in attendance. The program in­ cluded 40 lectures. These Proceedings form a record of most of the papers presented at the Symposium. The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods. We would like to thank the director of the Oberwolfach Mathe­ matical Research Institute, Prof. Dr. M. Barner, and his staff for providing the facilities. Of the people who gave their time to help make this conference a success, we would like to mention in particular Prof. Dr. F.J. Delvos (Siegen), Dr. G. Baszenski (College Station, Texas), and Dipl.-Math. H. Nienhaus (Siegen). Finally, our thanks are due to Carl Einsele of Birkhauser Publishers for his valuable cooperation.

• Mathematica
• approximation
• function
• theorem
• variable

• Lehrstuhl für Mathematik I, Universität Siegen, Siegen, Germany

  Walter Schempp

• Mathematisches Institut, Universität Tübingen, Tübingen, Germany

  Karl Zeller

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